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Construction of some algebras of logic by using fuzzy ideals in MV-modules
- Bakhshi, M.;
- Ahn, S. S.;
- Jun, Y. B.;
- Xin, X. L.;
- Borzooei, R. A.
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2초록
We study the lattice structure of fuzzy A-ideals in an MV-module M (Faid(M), symbolically) and show that it is a complete Heyting lattice and so the set of its pseudocomplements forms a Boolean algebra. In the sequel, the properties of fuzzy congruences in an MV-module are investigated and using them some structural theorems are stated and proved. Finally, it is proved that Faid(M) can be embedded into the lattice of fuzzy congruences.
키워드
MV-module; fuzzy A-ideal; fuzzy congruence; distributive lattice
- 제목
- Construction of some algebras of logic by using fuzzy ideals in MV-modules
- 저자
- Bakhshi, M.; Ahn, S. S.; Jun, Y. B.; Xin, X. L.; Borzooei, R. A.
- 발행일
- 2023-01
- 유형
- Article
- 권
- 44
- 호
- 3
- 페이지
- 4509 ~ 4519